Let $X$ be a finite set, $(X^{\mathbb Z}, T)$ is the shift, i.e. the Tikhonov topological space of all bi-infinite words in $X$, $T$ shifts the words one letter to the right. A subshift is a closed subset of $X^{\mathbb{Z}}$ stable under $T$.
Is there a recent survey about the problem of equivalence of subshifts?